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VOA: special.2009.02.26
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Remember, we don't do a one-to-one correlation, because p x and p y are some linear combination of the m plus 1 and m minus 1 orbital.
记住，我们不需要把它们一一对应，因为ｐｘ和ｐｙ轨道是,ｍ等于正负１轨道的线性组合。
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So we can have, if we have the final quantum number m equal plus 1 or minus 1, we're dealing with a p x or a p y orbital.
所以如果我们有,磁量子数ｍ等于正负１,我们讨论的就是ｐｘ或者ｐｙ轨道。
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All right, c p 1 dot y, x I've said assign that to the value 2, 2,0. So now c p 1 has inside of it an x and y value.
一个特定的版本，我现在命名了一个内置变量，并给它赋值了,我刚刚做的也就是给它。
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which is f , divided by the value of the x-axis here.
斜率，而f是p趋于0时pV的极限。
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The mean proportion-- The mean of x/n, is equal to p.
事件发生频率的均值,即x/n的均值,就等于p
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So what we're going to do is take the equations for those two lines, so here's one of those equations and here's the other one, set the P in those equations equal to X, I've got two equations in one unknown, I'm sorry, I've got one equation and one unknown.
接下来我们只需要,列出这两条线各自的方程,也就是这个方程和这个方程,把方程中的P换成X,我就得到了两个等式和一个未知数,错了,是一个等式和一个未知数
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It's reasonable because it's meant TMP for temporary purposes just to call it temp or T-M-P for short, X and I can define temp as -- why don't I set it as equal to X, initially, because now that I've stored X in a separate chunk of memory, I can now change its value and then I can say Y gets, not X, but temp, and so now I've actually swapped these values.
这是合理的，因为它是为,暂时的目的，只要叫它Temp或简称它为，我可以定义temp为--为什么我不把它设定为等于，最初的，因为现在我把X存储在一个单独的内存块中,我现在可以改变它的值，然后我说Y等于，不是X，而是temp，所以现在我交换这些值。
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At this point, we have no other choice but to double up before going to the next energy level, 2px so we'll put a second one in the 2 p x.
在这点上我们没有其他选择,而只有双倍填充,在到下一个能级之前，所以我们放入第二个电子至。
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px So we're talking about pi carbon 2 p x, 2px because it's the x axes combining to carbon 2 p x.
我们讨论的是π碳，因为它在x轴结合成碳。
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is going to be just the opposite of 2px So if you said 2 p x the first time, 2py say 2 p y this time.
就和，我们开始说的那个,如果你第一次说，现在就是。
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px We'll call it either pi 2 p x, 2py if we're combining the x orbitals, or pi 2 p y.
我们叫它π,如果是x轨道组合的话，或者π
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If I want to get values back out, p I could in fact simply send to that instance a message, in this case I could say p dot x.
我就是，我刚刚在这里输入的，我得到了一个c，point的实例,如果我想把值取出来，实际上我可以。
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In which I said c p 1 dot x equals 1.0.
请注意我上面是怎么做的,创建了cp1和cp2后。
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px 2py So we need to fill all the way up to the pi 2 p x, and the pi 2 p y.
我们需要填到。
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You can see that we have two unpaired electrons in this molecule here one in the pi 2 p x star, and one in the pi 2 p y star orbital.
你们可以看到我们这个,分子力有两个未配对电子,一个在π2px星，一个在π2py星轨道。
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1 Similarly, if m is equal to either plus 1 or minus 1, py we would in turn call it the p y orbital, or the p x orbital.
类似的，如果m等于+1或，我们可以叫它，或者px轨道。
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So we're going to call this the sigma 2 p x star, or if we're talking about the 2 p y orbitals we'll call this the pi 2 p x star, and the pi 2 p y star.
我们叫这个sigma2px星，或者如果我们说的是π2py轨道的话,我们叫这个2px星，这个π2py星。
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All right, so one thing that I want to point out, which I said many, many times on Friday, and this is perhaps the last time I'll say it, but one last time is we can think about why we only see a line for the 2 p orbital, versus we don't see separate lines for a 2 p x, a 2 p y, and a 2 p z.
好的，我还要指出一个问题，这个问题我在上周五已经说了很多很多次了，这可能是我最后一次提到它，但是这最后一次让我们来考虑一下,为什么我们只看到了一条，对应于，2，p，轨道的线,而不是分别对应于，2，p，x，2，p，y，2，p，z，的线？
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pxa So what happens when we add a 2 p a and we subtract from it a 2 p x b, or the same with a 2 p y a subtracting a 2 p y b, is that we're actually going to cancel out the wave function in the center, so we now have 2 nodal planes.
当我们用,减去2pxb时，或者是2pya减去2pyb时，我们会消去,中间的波函数，所以现在我们有两个节面。
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If I want to get out right now the versions of these things, I can ask what's the value of c p 1 x, and it returns it back out.
你可以在那里看到那些,代表笛卡尔坐标点的东西，如果我想要得到现在，这个类的版本的东西的话。
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So when I type, I'm sorry, I shouldn't say type, c point although I would have typed it, p dot x, here's what basically happens.
处于特定点的实例的这个概念，我知道它来自于这个类，这个类，when，I，write，因此当我输入，抱歉，我不该说输入的，当我写，虽然我需要输入它，p，x的时候。
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That's it. Again, these other p dxy dyz - or the d x y, d y z, those are going to be those more complicated linear combinations, you don't need to worry about them.
同样，这些p轨道,或者，它们是一些,很复杂的线性组合，你们，不用管它。
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And the pi star orbitals result from any time you have destructive py interference from 2 p orbitals that are either the p x or the p y.
星轨道是由于2p轨道的相消干涉,不管是px还是。
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And now we get the p orbitals, remember we want to fill up 1 orbital at a time before we double up, so we'll put one in the 2 p x, then one in the 2 p z, and then one in the 2 p y.
我们到了p轨道，记住在双倍填充之前,我们想要每次填充至一个轨道，所以我们在2px填充一个然后2pz填充一个，然后2py填充一个。
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And by state we just mean orbital, so if we're looking at the p orbitals here, x that means that a single electron goes in x, and then it will go in the z orbital before a second one goes in the x orbital.
我们说的态仅仅意味着轨道，所以如果我们观察这里的p轨道，那意味着单个电子进入，然后它会进入z轨道,在它第二个进入x之前。
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py So you can either write 2 p x or 2 p y, whichever one you want is fine.
这是对的，你们可以把它写成2px或者，哪种都可以。
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px And I arbitrarily chose to put it in the 2 p x, 2pz we also could have put it in the 2 p y or the 2 p z, it doesn't matter where you double up, they're all the same energy.
我任意地选择放入至，我们也可以把它放入2py或，它与你在哪双倍填充没有关系，它们都在相同的能级。
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% Some people, the next most popular answer with 5%, which is a nice low number, wanted to put two in the 2 p x before they moved on.
下一个更多的选择占了,是一个比较低的数字，想要将两个电子在移动之前放入2px轨道,记住在我们双倍填充之前。
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So, we can have the 2 p x, 2 p y, and 2 p z orbitals.
所以我们有2个px2个py2个pz轨道。
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